DanniellaX711935 DanniellaX711935
  • 29-10-2022
  • Mathematics
contestada

lines M and N shown below are parallel linesWhat is the valie of x in the measure of the angle?

lines M and N shown below are parallel linesWhat is the valie of x in the measure of the angle class=

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GodfreyG240838 GodfreyG240838
  • 29-10-2022

These two angles are corresponding angles, if you link them with a line, it'll form an F shape, this means that they are congruent.

Since the angles are equal, you can say that

4x-20=84

Now you have a one unknown equation and can calculate the value of x:

[tex]\begin{gathered} 4x+20=84 \\ 4x=84+20 \\ 4x=104 \\ x=\frac{104}{4} \\ x=26 \end{gathered}[/tex]

x=26º

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